NCERT Solutions for Class 10 Maths Chapter 15 Probability Exercise 15.2

CBSE X Related Questions

  • 1.

    Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is

      • 8 cm
      • \(4\sqrt{5}\) cm
      • \(2\sqrt{5}\) cm
      • 12 cm

    • 2.

      In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


        • 3.
          Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]


            • 4.
              Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
              (i) $pqr + 1$ is a composite number
              (ii) $pqr + 1$ is a prime number


                • 5.

                  On the day of her examination, Riya sharpened her pencil from both ends as shown below.

                  The diameter of the cylindrical and conical part of the pencil is 4.2 mm. If the height of each conical part is 2.8 mm and the length of the entire pencil is 105.6 mm, find the total surface area of the pencil.


                    • 6.
                      A box contains 120 discs, which are numbered from 1 to 120. If one disc is drawn at random from the box, find the probability that
                      (i) it bears a 2-digit number
                      (ii) the number is a perfect square.

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